A Memristive System with Hidden Attractors and Its Engineering Application

2017 ◽  
pp. 81-99 ◽  
Author(s):  
Viet-Thanh Pham ◽  
Sundarapandian Vaidyanathan ◽  
Christos Volos ◽  
Esteban Tlelo-Cuautle ◽  
Fadhil Rahma Tahir
Keyword(s):  
Engineering Application ◽  
Hidden Attractors ◽  
Memristive System

Analysis of a 4-D Hyperchaotic Fractional-Order Memristive System with Hidden Attractors

2017 ◽  
pp. 207-235 ◽  
Author(s):  
Christos Volos ◽  
V.-T. Pham ◽  
E. Zambrano-Serrano ◽  
J. M. Munoz-Pacheco ◽  
Sundarapandian Vaidyanathan ◽  
...  
Keyword(s):  
Fractional Order ◽  
Hidden Attractors ◽  
Memristive System

Extreme multi-stability in hyperjerk memristive system with hidden attractors and its adaptive synchronisation scheme

2018 ◽  
Vol 13 (5) ◽  
pp. 433
Author(s):  
Ioannis M. Kyprianidis ◽  
Ioannis N. Stouboulos ◽  
Dimitrios A. Prousalis ◽  
Christos K. Volos
Keyword(s):  
Hidden Attractors ◽  
Memristive System

scholarly journals A locally Active Discrete Memristor Model and Its Application in a Hyperchaotic Map

2021 ◽  
Author(s):  
Minglin Ma ◽  
Yang Yang ◽  
Zhicheng Qiu ◽  
Yuexi Peng ◽  
Yichuang Sun ◽  
...  
Keyword(s):  
Simulation Analysis ◽  
Engineering Application ◽  
Two Dimensional ◽  
Coexisting Attractors ◽  
Distribution Diagram ◽  
Dynamical Behaviors ◽  
Memristive System ◽  
Definition Of ◽  
First Time ◽  
Lyapunov Exponent Spectrum

Abstract The continuous memristor is a popular topic of research in recent years, however, there is rare discussion about the discrete memristor model, especially the locally active discrete memristor model. This paper proposes a locally active discrete memristor model for the first time and proves the three fingerprints characteristics of this model according to the definition of generalized memristor. A novel hyperchaotic map is constructed by coupling the discrete memristor with a two-dimensional generalized square map. The dynamical behaviors are analyzed with attractor phase diagram, bifurcation diagram, Lyapunov exponent spectrum, and dynamic behavior distribution diagram. Numerical simulation analysis shows that there is significant improvement in the hyperchaotic area, the quasi-periodic area and the chaotic complexity of the two-dimensional map when applying the locally active discrete memristor. In addition, antimonotonicity and transient chaos behaviors of system are reported. In particular, the coexisting attractors can be observed in this discrete memristive system, resulting from the different initial values of the memristor. Results of theoretical analysis are well verified with hardware experimental measurements. This paper lays a great foundation for future analysis and engineering application of the discrete memristor and relevant the study of other hyperchaotic maps.

Extreme Multistability in a Hyperjerk Memristive System With Hidden Attractors

2019 ◽  
pp. 89-103 ◽  
Author(s):  
Dimitrios A. Prousalis ◽  
Christos K. Volos ◽  
Bocheng Bao ◽  
Efthymia Meletlidou ◽  
Ioannis N. Stouboulos ◽  
...  
Keyword(s):  
Hidden Attractors ◽  
Extreme Multistability ◽  
Memristive System

Extreme multi-stability in hyperjerk memristive system with hidden attractors and its adaptive synchronisation scheme

2018 ◽  
Vol 13 (5) ◽  
pp. 433 ◽  
Author(s):  
Dimitrios A. Prousalis ◽  
Christos K. Volos ◽  
Ioannis N. Stouboulos ◽  
Ioannis M. Kyprianidis
Keyword(s):  
Hidden Attractors ◽  
Memristive System

A Hyperjerk Memristive System with Hidden Attractors

2017 ◽  
pp. 59-80 ◽  
Author(s):  
Viet-Thanh Pham ◽  
Sundarapandian Vaidyanathan ◽  
Christos Volos ◽  
Xiong Wang ◽  
Duy Vo Hoang
Keyword(s):  
Hidden Attractors ◽  
Memristive System

Multi-scroll hidden attractors and multi-wing hidden attractors in a 5-dimensional memristive system

2017 ◽  
Vol 26 (11) ◽  
pp. 110502 ◽  
Author(s):  
Xiaoyu Hu ◽  
Chongxin Liu ◽  
Ling Liu ◽  
Yapeng Yao ◽  
Guangchao Zheng
Keyword(s):  
Hidden Attractors ◽  
Memristive System

Hyperchaotic memristive system with hidden attractors and its adaptive control scheme

2017 ◽  
Vol 90 (3) ◽  
pp. 1681-1694 ◽  
Author(s):  
Dimitrios A. Prousalis ◽  
Christos K. Volos ◽  
Ioannis N. Stouboulos ◽  
Ioannis M. Kyprianidis
Keyword(s):  
Adaptive Control ◽  
Hidden Attractors ◽  
Control Scheme ◽  
Memristive System ◽  
Adaptive Control Scheme

On Coexistence of Fractional-Order Hidden Attractors

2018 ◽  
Vol 13 (9) ◽  
Author(s):  
Manashita Borah
Keyword(s):  
Fractional Order ◽  
Real Life ◽  
Fractional Dimension ◽  
Fractional Dynamics ◽  
Hidden Attractors ◽  
Physical Systems ◽  
Memristive System ◽  
First Time ◽  
Theoretical Analyses ◽  
Hyperchaotic Systems

Abstract This paper proposes new fractional-order (FO) models of seven nonequilibrium and stable equilibrium systems and investigates the existence of chaos and hyperchaos in them. It thereby challenges the conventional generation of chaos that involves starting the orbits from the vicinity of unstable manifold. This is followed by the discovery of coexisting hidden attractors in fractional dynamics. All the seven newly proposed fractional-order chaotic/hyperchaotic systems (FOCSs/FOHSs) ranging from minimum fractional dimension (nf) of 2.76 to 4.95, exhibit multiple hidden attractors, such as periodic orbits, stable foci, and strange attractors, often coexisting together. To the best of the our knowledge, this phenomenon of prevalence of FO coexisting hidden attractors in FOCSs is reported for the first time. These findings have significant practical relevance, because the attractors are discovered in real-life physical systems such as the FO homopolar disc dynamo, FO memristive system, FO model of the modulation instability in a dissipative medium, etc., as analyzed in this work. Numerical simulation results confirm the theoretical analyses and comply with the fact that multistability of hidden attractors does exist in the proposed FO models.

A 4D Hyperjerk memristive system with hidden attractors

2017 ◽  
Author(s):  
Dimitrios A. Prousalis ◽  
Christos K. Volos ◽  
Ioannis N. Stouboulos ◽  
Ioannis M. Kyprianidis
Keyword(s):  
Hidden Attractors ◽  
Memristive System
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